185845111749 has 128 divisors (see below), whose sum is σ = 342554572800. Its totient is φ = 98090818560.

The previous prime is 185845111729. The next prime is 185845111759. The reversal of 185845111749 is 947111548581.

185845111749 is a `hidden beast` number, since 1 + 8 + 5 + 84 + 511 + 1 + 7 + 49 = 666.

It is not a de Polignac number, because 185845111749 - 2¹¹ = 185845109701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 185845111695 and 185845111704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (185845111729) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4102507 + ... + 4147559.

It is an arithmetic number, because the mean of its divisors is an integer number (2676207600).

Almost surely, 2^185845111749 is an apocalyptic number.

185845111749 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

185845111749 is a deficient number, since it is larger than the sum of its proper divisors (156709461051).

185845111749 is a wasteful number, since it uses less digits than its factorization.

185845111749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45152 (or 45146 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 54.

The spelling of 185845111749 in words is "one hundred eighty-five billion, eight hundred forty-five million, one hundred eleven thousand, seven hundred forty-nine".